Sarin learns Perimeter, Area and Volume in school part 80 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings about Solving Singapore Primary School Mathematics. The blog presenting the Math Concept, Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can acquire the skill of dealing with Math Modeling, Math Problem Solving and Problem Sum from Lower Primary School to Upper Primary School level after reading the blog postings. This posting is an upper primary school math question on Area.

You can read posting Sarin learns Perimeter, Area and Volume in school(Math Concept) to learn the concept of perimeter and area.

Challenge yourself with the question before look out for the given solution‼!

Upper primary school mathematics question UPQ341

In the figure below, not drawn to scale, the area of the square is twice that of the rectangle. What is the perimeter of the rectangle?

UPQ341-1

 

 

 

Solution:

            The area of the square is 8 × 8 = 64 cm2

            The area of the square is twice that of the rectangle

UPQ341-2

 

 

            The area of the rectangle = 64 ÷ 2 = 32cm2 

            The length of rectangle = 32 ÷ 2 = 16 cm

            The perimeter of the rectangle is 2 × 16 + 2 × 2 = 36 cm

Alternative Solution:

            Divided the square to 2cm length rectangles

UPQ341-3

 

 

 

 

            The area of the square is twice the area of the rectangle

            The yellow portion is equal to the area of the rectangle

            Breadth of rectangle is 2cm

            The length of the rectangle = 2 × 8 = 16cm

            The perimeter of the rectangle = 16 × 2 + 2 × 2 = 36 cm

 More Questions on Area. Click here…. 

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